A post over at the Bates Area Civic Assiciation (BACA) blog provides the answer to the question of the location of the mystery "Bloomingdale" playground as reported in the Washington Examiner (http://washingtonexaminer.com/local/2011/07/teaming-build-super-playground):
The unit block of P Street NW.
See the BACA blog post: http://batesareacivicassociation.org/2011/07/21/new-are-playground/
And see this video press release: http://washingtoncapitals.tumblr.com/post/7859290415/john-carlson-elliot-segal-from-dc101-and-kaboom .
So while this new playground isn't actually in Bloomingdale, it is nearby in Truxton Circle/Bates area. Another park in the community!